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Oscillation and stability of first-order delay differential equations\n with retarded impulses

2010/07/09 by Başak Karpuz, Karpuz, Basak
Engineering · Mathematics · #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Differential Equations Analysis #Primary: 34K11 and 34K20 Secondary: 34K45 #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1007.1571

openalex publication_date 2010/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study both the oscillation and the stability of impulsive\ndifferential equations when not only the continuous argument but also the\nimpulse condition involves delay. The results obtained in the present paper\nimprove and generalize the main results of the key references in this subject.\nAn illustrative example is also provided.\n

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